#include <bits/stdc++.h>
using namespace std;

#define int int64_t
#define endl "\n"

using PII = pair<int, int>;
using TII = tuple<int, int, int>;
template<class T> using V = vector<T>;
using i64 = long long;
using i128 = __int128;
using u64 = unsigned long long;

#define FOR(i, a, b) for (int i = (int)(a); i <= (int)(b); i++)
#define FOR2(i, a, b, c) for (int i = (int)(a); i <= (int)(b); i += c)
#define FORD(i, b, a) for (int i = (int)(a); i >= (int)(b); i--)
#define FORD2(i, b, a, c) for (int i = (int)(a); i >= (int)(b); i -= c)
#define ALL(a) a.begin(), a.end()
#define RALL(a) a.rbegin(), a.rend()
#define lowbit(x) ((x) & (-x))
#define RE return;
#define Yes cout << "Yes" << endl;
#define YES cout << "YES" << endl;
#define No cout << "No" << endl;
#define NO cout << "NO" << endl;
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define sz(x) (int)(x).size()

void solve() {
    int n, q;
    cin >> n >> q;
    V<int> w(2 * n + 1, 0);
    FOR(i, 1, n) cin >> w[i], w[i + n] = w[i];
    int t = 0;
    V<int> s(2 * n + 1, 0);
    FOR(i, 1, 2 * n) s[i] = s[i - 1] + w[i];

    while (q--) {
        int op, x, l, r;
        cin >> op;
        if (op == 1) {
            cin >> x;
            (t += x) %= n;
        } else {
            cin >> l >> r;
            l += t, r += t;
            cout << s[r] - s[l - 1] << endl;
        }
    }
}

signed main() {
    int Task = 1;

    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    while (Task--) {
        solve();
    }

    return 0;
}